11382969480 has 256 divisors, whose sum is σ = 37160570880. Its totient is φ = 2778476544.

The previous prime is 11382969439. The next prime is 11382969511. The reversal of 11382969480 is 8496928311.

It is a Cunningham number, because it is equal to 106691²-1.

It is a super-2 number, since 2×11382969480² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 21764499 + ... + 21765021.

It is an arithmetic number, because the mean of its divisors is an integer number (145158480).

Almost surely, 2^11382969480 is an apocalyptic number.

11382969480 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11382969480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18580285440).

11382969480 is an abundant number, since it is smaller than the sum of its proper divisors (25777601400).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

11382969480 is a wasteful number, since it uses less digits than its factorization.

11382969480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 828 (or 824 counting only the distinct ones).

The product of its (nonzero) digits is 746496, while the sum is 51.

The spelling of 11382969480 in words is "eleven billion, three hundred eighty-two million, nine hundred sixty-nine thousand, four hundred eighty".